Euler-Lagrange Equations

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

Differential equations that render a functional stationary in the calculus of variations, describing the time evolution of states and costates in optimal control problems.

Application Value

为航天器的精确控制提供理论依据，确保任务执行的可靠性 描述系统状态随时间的变化规律，是轨道预报的基础。

References

• Song 等 - 2021
• Ozimek和Howell 2010